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1.1 Add Integers Using the Inverse Property Of Addition Basic Conduct 1) Be in your seat at the bell ready to work. 2) Stay in your seat and stay silent. 3) Class starts when you enter the room, and ends when you are dismissed. WARM-UP 1) Place the integers on the number line. −9, − 5, − 2, 1, 5,7 0 Evaluate the expressions. 2) 4) −2 + 2 −5 + 5 3) −2 + 9 5) −5 + 3 Add Integers using the Inverse Property of Addition You have $50 in your pocket, but you owe a friend $57. Do you really have any money? NOTES Two numbers that are the same distance from zero are called opposites. -10 -8 -6 -4 -2 0 2 4 6 8 10 Concept Check Find the opposites. 6 −4 Find the number that is the same distance from zero. −7 3 NOTES The Inverse Property of Addition: opposites added together always equals zero. Concept Check Evaluate the expressions. −1 + 1 1,048 + (−1,048) EXAMPLES Evaluate the expressions. −4 + 4 + 13 74 + 26 + (−74) 843 + (−843) + (−11) NOTES To add positives to negatives cancel equal amounts out then count the extra positives or negatives. Concept Check −2 + 7 + = + = 3 + (−8) EXAMPLES Evaluate the expressions. + = + = EXAMPLES Evaluate the expressions. −9 + 2 10 + (−4) −21 + 29 38 + (−21) EXAMPLES Fred had $68 in his pocket, but owed his friend $14. How much money did Fred have? PRACTICE What is the opposite of 17? What property says that when you add opposites you get zero? Evaluate the expressions. −56 + 8 + 56 29 + (−17) 10 + (−23) 50 + (−4) PRACTICE Sam had $58 in the bank, but owed his friend $80. How much money did Sam really have? FINAL QUESTION Create your own example of the inverse property of addition.